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Numerical Integration of Non-linear Equation of Motion using Operation of Integration  

Lee, Donghun (달탐사기술팀)
Kwon, Jae-Wook (달탐사체계팀)
Choi, Sujin (달탐사체계팀)
Rew, Dong-Young (달탐사기술팀)
Ju, Gwanghyeok (달탐사체계팀)
Publication Information
Aerospace Engineering and Technology / v.13, no.2, 2014 , pp. 60-65 More about this Journal
Abstract
In this paper, numerical integration method using operational matrix of integration is studied. Using the operational matrix of integration, modified fixed point iteration method is introduced in order to solve rapidly an initial value problem for non-linear equation of motion. As an example, an initial value problem for orbital motion is considered. Through the numerical example, it is shown that the algorithm is efficient from the computational time point of view.
Keywords
Orbital Motion; Numerical integration; Legendre Polynomial; Quadrature Rule;
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